338-0938/02 – Numerical Modeling of 3D Fluid Flow (NumMod3D)
| Gurantor department | Department of Hydromechanics and Hydraulic Equipment | Credits | 10 |
| Subject guarantor | prof. RNDr. Milada Kozubková, CSc. | Subject version guarantor | doc. Ing. Marian Bojko, Ph.D. |
| Study level | postgraduate | Requirement | Choice-compulsory |
| Year | | Semester | winter + summer |
| | Study language | Czech |
| Year of introduction | 2012/2013 | Year of cancellation | 2021/2022 |
| Intended for the faculties | HGF, USP, FS, FEI, FBI | Intended for study types | Doctoral |
Subject aims expressed by acquired skills and competences
Students will become familiar with the mathematical model of fluid flow, the physical meaning laminarity and turbulence. They will be able to create a mathematical model for solving application of wrapped obstacles, natural convection, the flow of contaminants and particulate material, and wall heat transfer problem. An important part of the work will be the solution evaluation, comparison with theory and experiments and determine the limits of solvability in the field of application.
Teaching methods
Seminars
Individual consultations
Summary
Course is focused on the possibility of space modeling of flow and the creation of geometry and grid for modeling flow. Students will extend their theoretical knowledge concerning the transfer of mass, momentum and heat of turbulent flow. To solve the system of equations describing the flow the finite volume method will be used. Application of methods will be focused on solving the multiphase flow and flow of discrete particles, the solution flow with chemical reactions, combustion of fuels, etc.
For practical applications Software ANSYS - Fluent and CFX resp. is used. Seminar work will involve mathematical and numerical modeling of practical problems, such as flow around obstacles, natural and mixed convection flow and admixture of material particles, heat transfer wall according to the specific focus of doctoral dissertation
Compulsory literature:
ANSYS FLUENT INC. FLUENT 13.16- User’s guide. [Online]. c2010. Dostupné z:
< URL:http://sp.1.vsb.cz/DOC/Fluent_12.0.16/html/ug/ /main_pre.htm >.
Recommended literature:
Way of continuous check of knowledge in the course of semester
E-learning
Other requirements
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Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
- Turbulence. The physical significance of turbulence, mathematical models of laminar and turbulent flow with heat transfer, flow and incompressible compressible media. Random nature of turbulence, statistical approaches, Reynolds rules, vector and tensorial equations.
- Numerical solution of flow. Numerical solution of the Navier - Stokes equation and continuity equation methods, the basic differential, integral method, finite volume, finite element method, spectral method.
- The principle of finite volumes. The finite volume method applied to one-dimensional flow. Solving discretized equations. SIMPLE algorithm, SIMPLEC, multigridní methods, the accuracy of difference schemes.
- Wall functions. The importance of wall functions for velocity and temperature profiles
in modeling the near wall, dimensionless parameter criterion for y +, use of wall functions.
- Boundary conditions. Definition of basic flow variables at the border area, as well as turbulent variables, variables related to heat transfer wall, weight fractions of impurities, etc. Time-dependent boundary conditions.
- Methods of solving turbulent flow. Direct simulation (DNS) method, simulations of large eddies (LES, DES), time-averaging method (standard k-eps model, RNG k-eps model (renormalization group method), k-omega model, the RSM model (Reynolds stress model).
- preprocessor GAMBIT. Use preprocessor GAMBIT geometry creation, mesh generation, transfer the geometry from CAD systems into GAMBIT, treatment of transferred data, mesh generation, mesh quality control and export to FLUENT.
- The software FLUENT. Using FLUENT for numerical solution. Grid adaptation during the simulation. Modification of numerical parameters such as residual limitations, relaxation parameters, multigrid.
- Applications. The theoretical findings are used to wrap solution obstacles, lift forces, natural convection, the flow of gas and impurities, solid particles (aerosols), the wall heat transfer, fluid flow, taking into account a mixture with chemical reactions
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction